English

Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion

Statistical Mechanics 2025-10-14 v2 Mathematical Physics math.MP

Abstract

We consider a multi-walker generalization of the true self-avoiding walk: the bricklayer model. We perform stochastic simulations, and solve the partial differential equations that describe the collective motion of NN bricklayers/walkers coupled to the contour of an expanding wall. In the large-NN limit, the results from simulation agree with the solution of the partial differential equations.

Keywords

Cite

@article{arxiv.2510.00975,
  title  = {Dynamics of a bricklayer model: multi-walker realizations of true self-avoiding motion},
  author = {A. C. Maggs},
  journal= {arXiv preprint arXiv:2510.00975},
  year   = {2025}
}

Comments

9 pages, 6 figures

R2 v1 2026-07-01T06:10:51.468Z